Greatest Common Factor of 99/570, 306/814, 366/259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/570, 306/814, 366/259

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 99/570,306/814,366/259

Given fractions are 99/570,306/814,366/259

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 99,306,366

Greatest Common Factor of Numerators i.e. GCF of 99,306,366 is 3 .

LCM of Denominators means LCM of 570,814,259 as per the given fractions.

LCM of 570,814,259 is 1623930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,306,366

GCF of Fractions 99/570,306/814,366/259 is 3/1623930

3 99, 306, 366
33, 102, 122

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 99,306,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,306,366 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 99,306,366 . The biggest common factor number is the GCF number.
So the greatest common factor 99,306,366 is 3.

Lets's calculate LCM of 570,814,259

2 570, 814, 259
37 285, 407, 259
285, 11, 7

∴ So the LCM of the given numbers is 2 x 37 x 285 x 11 x 7 = 1623930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1623930

Therefore, the GCF of Fractions 99/570,306/814,366/259 is 3/1623930

Least Common Multiple of 570,814,259 with GCF Formula

Least Common Multiple of 570,814,259 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 570,814,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,814,259) = 1

common factors(in case of two or more numbers have common factors) = 74

GCF(570,814,259) x common factors =1 x 74 = 74

LCM(570,814,259) = ( 570 × 814 × 259 ) / 74

LCM(570,814,259) = 120170820 / 74

LCM(570,814,259) = 1623930


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 99/570, 306/814, 366/259

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 99/570, 306/814, 366/259?

Answer: GCF of Numerators as per given numbers 99/570, 306/814, 366/259 is

GCF of Numerators i.e. for 99,306,366 is 3

LCM of denominators i.e. for 570,814,259 is 1623930.

Thus, GCF of Fractions is 3/1623930.Finally, GCF of Fractions for 99/570, 306/814, 366/259 is 3/1623930.